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Finding the Fourth Proportional to 5,173.32, 7,148.88 and 4,228.78

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Solution

The fourth proportional to 5,173.32, 7,148.88 and 4,228.78 is: 5,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.32 : 7,148.88 = 4,228.78 : x
  2. Step 2: Convert to fraction form
    5,173.32/7,148.88 = 4,228.78/x
  3. Step 3: Cross multiply
    5,173.32x = 7,148.88 × 4,228.78
  4. Step 4: Simplify right side
    5,173.32x = 30,231,040.77
  5. Step 5: Solve for x
    x = 30,231,040.77/5,173.32
  6. Step 6: Final answer
    x = 5,843.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.